Question

As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes 23\dfrac2332​start fraction, 2, divided by, 3, end fraction of the water out of her cup before she gets a chance to drink any.

Answer 1

`8 \pi`

Explanation:

The computation of the volume of water remaining is shown below:

The volume of the cone is

`\pi r^2 (h)/(3)\\\\\pi * 3^2 * (8)/(3) \\\\(72)/(3) \pi \\\\24 \pi`

Now since it is two-third so the remaining is one -third

`= 24 \pi * (1)/(3)`

`= 8 \pi`

hence, the volume of water remaining is
`8 \pi`